Sentence examples for both logical and mathematical from inspiring English sources

Moreover, their notion of analyticity comprized both logical and mathematical truths, thereby extending Wittgenstein's understanding of the former as "tautological" in support of a broadly logicist program.

For a cogent critique of Carnap's lack of appreciation of certain metamathematical subtleties in holding to his position that both logical and mathematical truths were analytic in Carnap's explicating sense, see Koellner (Carnap ms in Other Internet Resources).

The intention of the word logical was to insist on the distinctive nature of logical and mathematical truth.

No longer the central planks around which our beliefs are arrayed, logical and mathematical statements can (in principle) be modified, even abandoned, in the light of experience, as factual statements are.

Many philosophers have been dissatisfied with the stronger forms of this thesis, but only recently have attempts been made to spell out the precise sense in which logical and mathematical truths are informative and not tautologous.

In his later work, Dirac continued making important improvements and clarifications in the logical and mathematical presentation of quantum mechanics, in particular through his influential textbook The Principles of Quantum Mechanics (1930, with three subsequent major revisions).

Signal relation diagrams base on logical and mathematical phrasing.

It includes space, time and causality, as well as psychological, logical and mathematical forms of explanation.

Frege was extremely careful about the proper description and definition of logical and mathematical concepts.

But why would this problem be worth studying from a logical and mathematical point of view?

Reichenbach requires it as an additional axiom, because of his mixture of logical and mathematical notation.